Mr. Scoville ran for school board last year and got 18% of the vote. He is running again this year. How many people would need to be surveyed in order to estimate Mr. Scoville’s support to within 4 percentage points with 95% confidence? (A) 300 (B) 355 (C) 600 (D) 655
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Mr. Scoville ran for school board last year and got 18% of the vote. He is running again this year. How many people would need to be surveyed in order to estimate Mr. Scoville’s support to within 4 percentage points with 95% confidence? (A) 300 (B) 355 (C) 600 (D) 655
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- A survey asked participants if they liked vanilla ice cream, chocolate ice cream, both, or neither. Of those surveyed, 44% liked vanilla, 68% liked chocolate, and 19% liked neither. What percentage of the students liked both vanilla and chocolate? (1) 17% (3) 27% (2) 22% (4) 31%A programmer plans to develop a new software system. In planning for the operating system that he will use, he needs to estimate the percentage of computers that use a new operating system. How many computers must be surveyed in order to be 99% confident that his estimate is in error by no more than two percentage points question mark Complete parts Assume that a recent survey suggests that about 92% of computers use a new operating system. (Round up to the nearest integer.)A report just came out that stated that 24.4% of all Americans say that vanilla is their favorite ice cream, 22.7% say that chocolate is their favorite, 8.4% favor butter pecan, 9.1% favor strawberry, and the rest have other favorites. An ice cream shop owner thinks that her customers are not like the rest of America. The table below shows the results of 995 of her patrons' ice cream selections. What can be concluded at the αα = 0.05 significance level? Complete the table by filling in the expected frequencies. Round your answers to the nearest whole number. Outcome Frequency Expected Frequency Vanilla 248 Chocolate 230 Butter Pecan 79 Strawberry 101 Other 337 The degrees of freedom = _____ The test-statistic for this data = _____ (Please show your answer to three decimal places.) The p-value for this sample = _____(Please show your answer to four decimal places.)
- A conservative radio talk show host with a large audience is interested in the proportion p ofadults in his listening area who think the drinking age should be lowered to eighteen. To findthis out, he poses the following question to his listeners: “Do you think that the drinking ageshould be reduced to eighteen in light of the fact that eighteen year‐olds are eligible for militaryservice?” He asks listeners to phone in and vote “Yes” if they agree the drinking age should belowered and “No” if not. Of the 100 people who phoned in, 70 answered “Yes.” a. List one source of sampling bias (i.e. bias based on the people included in the sample). b. List another source of bias (sampling or non-sampling).A mayor running for re-election claims that during his term, average municipal taxes have fallen by $125. A conscientious statistician wants to test this claim. He surveys 37 of his neighbors and finds that their taxes decreased (in dollars) as follows: 121, 139, 121, 125, 118, 145, 141, 91, 127, 136, 144, 154, 131, 139, 139, 125, 108, 130, 125, 106, 137, 148, 154, 134, 137, 112, 96, 114, 114, 126, 133, 129, 94, 129, 148, 163, 121 The statistician assumes a population standard deviation of $19. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. ?v= Step 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are [Select an answer with distribution mean and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P? ✓ ? ♥ = P(? ? ♥A report just came out that stated that 22.9% of all Americans say that vanilla is their favorite ice cream, 23.3% say that chocolate is their favorite, 9.2% favor butter pecan, 8.9% favor strawberry, and the rest have other favorites. An ice cream shop owner thinks that her customers are not like the rest of America. The table below shows the results of 935 of her patrons' ice cream selections. What can be concluded at the αα = 0.01 significance level? Complete the table by filling in the expected frequencies. Round your answers to the nearest whole number.Frequencies of Favorite Ice Cream Outcome Frequency Expected Frequency Vanilla 224 Chocolate 228 Butter Pecan 84 Strawberry 70 Other 329 What is the correct statistical test to use?Select an answer Goodness-of-Fit Independence Paired t-test Homogeneity What are the null and alternative hypotheses?H0:H0: Favorite ice cream and where the ice cream is purchased are independent. The distribution…
- Internet tax: In 2013, the Gallup Poll asked 1033 U.S. adults whether they believed that people should pay sales tax on items purchased over the internet. Of these, 434 said they supported such a tax. Does the survey provide convincing evidence that less than 46% of U.S. adults favor an internet sales tax? Use the a=0.10 level of significance and the P-value method with the TI-84 Plus calculator. Part: 0 / 4 Part 1 of 4 (a) State the null and alternate hypotheses. H: OA study was conducted of pleas made by 1,025 criminals. Among those criminals, 953 pled guilty, and 395 of them were sentenced to prison. Among the 72 other criminals, who pled not guilty, 59 were sent to prison. Complete (a) through (d). a. What percentage of the criminals pled guilty? % (Round to the nearest tenth as needed.) b. What percentage of the criminals were sent to prison? % (Round to the nearest tenth as needed.) c. Among those who pled guilty, what is the percentage who were sent to prison? % (Round to the nearest tenth as needed.) d. Among those who pled not guilty, what is the percentage who were sent to prison? % (Round to the nearest tenth as needed.) ←As preparation for designing a new line of business wear, a clothing manufacturer asked a large sample of department store customers, "What is your favorite color of dress shirt?" The pie chart below summarizes their responses. Blue Black White Other Pink Grey (a) Which color was chosen by approximately one-fourth of the customers? Select One (b) Approximately what percentage of the customers chose Blue or Black? Write your answer as a multiple of 10% - that is, 10%, 20%, 30%, ... 0% (c) If 18% of the customers chose Blue, approximately what percentage chose Other? 3% 6% 33% X O 54% Ś Espar ? DEA 屋 AA group of 175 college students who took math last term were interviewed. They were asked whether they passed their math course and whether they live on campus. Their responses are summarized in the following table. Passed math Failed math Live on campus 49 21 Live off campus 28 77 ? |(a) What percentage of the students passed math? 1% |(b) What percentage of the students live on campus? % |(c) What percentage of the students who live on campus passed math? [% |(d) Is there evidence that students who live on campus tend to pass math more often than average? O No, because the percentage found in part (c) is about the same as the percentage found in part (a). O No, because the percentage found in part (c) is about the same as the percentage found in part (b). O Yes, because the percentage found in part (c) is much greater than the percentage found in part (a). O Yes, because the percentage found in part (c) is much greater than the percentage found in part (b).Español Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 65%. After a series of debates on campuses, a political scientist daims that the proportion of college students who say they're interested in their district's election results is more than 65%. A poll is commissioned, and 173 out of a random sample of 260 college students say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H1. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ロ=ロ OA mayor running for re-election claims that during his term, average municipal taxes have fallen by $150. A conscientious statistician wants to test this claim. She surveys 45 of her neighbors and finds that their taxes decreased (in dollars) as follows: 149, 135, 147, 147, 160, 146, 165, 144, 142, 159, 138, 185, 143, 164, 143, 154, 163, 151, 171, 156, 133, 145, 180, 172, 166, 167, 149, 144, 154, 172, 138, 168, 179, 151, 131, 165, 114, 140, 162, 151, 136, 152, 157, 154, 136 The statistician assumes a population standard deviation of $13. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. ? Step 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem. 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